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A man needed money to buy lawn equipment. He borrowed $700.00 for eight months and paid $53.97 in interest. What was the rate of interest?

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To calculate the rate of interest, we use the equation:


Interest\:paid=Amount\:borrowed* Rate\:of\:interest* Time

Where we have

Interest paid = $53.97

Amount borrowed = $700

Time = 8 months = 8/12 (conversion factor: 1 year = 12 months)

Putting those values in the equation, we get:


\begin{gathered} 53.97=700* Rate\:of\:interest*(8)/(12) \\ Rate\:of\:interest=0.11565=11.565\%\approx11.6\% \end{gathered}

The rate of interest is 11.6%.

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